Question

(15) A number exceeds 20% of itself by 40. The number is-
(d) 320
(a) 50
(b) 60
(c) 80 ​

Answer 1

Answer:

50

Reason:

Acc to condition

(20/100)×X=X-40

implies

(1/5)X=X-40

X=5X-200

implies

4x=200 or X=50.

50 is your Answer.

Answer 2

Answer :-

$\bf\huge\boxed{(a)50}$

Explanation :-

Given :

• A number exceeds 20% of itself by 40

To find :

The number

Solution :

Let the number be x

According to question,

$= > x - 20\% \: of \: x = 40$

$= > x - \dfrac{20}{100} \times x = 40$

$= > x - \dfrac{20x}{100} = 40$

$= > x - \dfrac{x}{5} = 40$

$= > \dfrac{5x - x}{5} = 40$

$= > \dfrac{4x}{5} = 40$

$= > 4x = 200$

$= > x = \dfrac{200}{4}$

$= > x = 50$

Hence, the number is 50.

Verification :-

Putting the value of x

$= > 50 - 20\% \: of \: 50 \: = 40$

$= > 50 - \dfrac{20}{100} \times 50 = 40$

$= > 50 - 10 = 40$

$= > 40 = 40$

Therefore, L.H.S = R.H.S

Hence, Proved.